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From a solid cylinder of height 14 cm an...

From a solid cylinder of height 14 cm and base diameter 7 cm, two equal conical holes each of radius 2.1 cm and height 4 cm are cut off. Find the volume of the remaining solid.

Text Solution

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volume of cone=`1/3 pir^2h`
given `r`=2.1cm and `h`=4cm
Volume of two such cones=`1/3 xx22/7xx 2.1 xx 2.1xx4xx2=36.96(cm)^2`
. volume of cylinder=`pir^2h`
given `r`=3.5cm an `h`=14cm
Volume of cylinder=`pi xx 3.5 xx3.5xx14=539(cm)^2`
Residual volume=`(539-36.96)=502.04(cm)^2`
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